109/110 as a Decimal

109/110 as a decimal expansion provides the detailed information about what is 109/110 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

109/110 as a Decimal
109/110 = 0.9909
Hence,
109/110 as a decimal equals to 0.9909
where,
109/110 is a given fraction,
The decimal expansion of 109/110 is 0.9909

109/110 as a Mixed Number
The given fraction 109/110 can't be represented as a mixed number since the numerator 109 of the given fraction is smaller than the denominator 110.

The below work with steps provide the detailed information about how to convert fraction 109/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/110

What to be found:
Find the decimal expansion of fraction 109/110.

step 2 The numerator is smaller than the denominator of the fraction 109/110, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 109/110.
= 109/110 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 109/110 x 1/10
= 1090/110 x 1/10

step 4 Simplify the above expression further:
= 1090/110 x 1/10
= 990 + 100/110 x 1/10
= ( 990/110 + 100/110) x 1/10
= (9 + 100/110 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 100/110 in the above expression:
= (9 + 100/110 ) x 1/10
= (9 + 0.909) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.909) x 1/10
= 9.909 x 1/10
= 9.909/10
109/110= 0.9909

Hence,
109/110 as a decimal is 0.9909